Differential equations.?

Question

What are integrating factors? Is it always e^(...)? At what grade/age do you learn it? thx (:

Answer 1

i actually learned this in college .. . .

this is part of the Bernoulli differential Equation .....

the integrating factor of

dy/dx + P(x) y = Q(x) is

e^∫ P(x) dx = v (let's just call it 'v')

and when you multiply it on the expression

the left side becomes the derivative of

y * v

thus

y * v = ∫ Q(x)*v dx

this is also what i used on your earlier question